Лема Фаркаша

uk

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Лема Фаркаша

Quality:

Farkas' lemma - theorem. Article “Лема Фаркаша” in Ukrainian Wikipedia has 8.4 points for quality (as of July 1, 2025). The article contains 0 references and 8 sections.

This article has the best quality in English Wikipedia. Also, this article is the most popular in that (Ukrainian) language version.

Since the creation of article “Лема Фаркаша”, its content was written by 3 registered users of Ukrainian Wikipedia and edited by 175 registered Wikipedia users in all languages.

The article is cited 6 times in Ukrainian Wikipedia and cited 107 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Ukrainian): #8905 in July 2010
  • Global: #108380 in September 2009

The highest popularity rank from 2008:

  • Local (Ukrainian): #71795 in January 2011
  • Global: #259522 in March 2017

There are 10 language versions for this article in the WikiRank database (of the considered 55 Wikipedia language editions).

The quality and popularity assessment was based on Wikipédia dumps from July 1, 2025 (including revision history and pageviews for previous years).

The table below shows the language versions of the article with the highest quality.

Languages with the highest quality

#LanguageQuality gradeQuality score
1English (en)
Farkas' lemma
30.7184
2Russian (ru)
Лемма Фаркаша
18.3808
3Korean (ko)
퍼르커시 보조정리
12.1274
4Czech (cs)
Farkasova věta
11.6704
5French (fr)
Lemme de Farkas
10.9097
6Ukrainian (uk)
Лема Фаркаша
8.4013
7Vietnamese (vi)
Bổ đề Farkas
8.0975
8Hungarian (hu)
Farkas-lemma
7.8082
9Polish (pl)
Lemat Farkasa
6.8119
10German (de)
Lemma von Farkas
4.8559
More...

The following table shows the most popular language versions of the article.

Most popular in all the time

The most popular language versions of the article "Лема Фаркаша" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Farkas' lemma
476 464
2German (de)
Lemma von Farkas
81 751
3French (fr)
Lemme de Farkas
37 431
4Russian (ru)
Лемма Фаркаша
15 149
5Hungarian (hu)
Farkas-lemma
13 143
6Polish (pl)
Lemat Farkasa
5 493
7Korean (ko)
퍼르커시 보조정리
3 868
8Vietnamese (vi)
Bổ đề Farkas
3 295
9Ukrainian (uk)
Лема Фаркаша
2 152
10Czech (cs)
Farkasova věta
1 412
More...

The following table shows the language versions of the article with the highest popularity in the last month.

Most popular in June 2025

The most popular language versions of the article "Лема Фаркаша" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Farkas' lemma
2 522
2German (de)
Lemma von Farkas
207
3French (fr)
Lemme de Farkas
168
4Russian (ru)
Лемма Фаркаша
90
5Hungarian (hu)
Farkas-lemma
62
6Czech (cs)
Farkasova věta
30
7Polish (pl)
Lemat Farkasa
26
8Vietnamese (vi)
Bổ đề Farkas
17
9Korean (ko)
퍼르커시 보조정리
15
10Ukrainian (uk)
Лема Фаркаша
5
More...

The following table shows the language versions of the article with the highest Authors’ Interest.

The highest AI

Language versions of the article "Лема Фаркаша" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Farkas' lemma
74
2German (de)
Lemma von Farkas
29
3French (fr)
Lemme de Farkas
25
4Hungarian (hu)
Farkas-lemma
14
5Russian (ru)
Лемма Фаркаша
8
6Czech (cs)
Farkasova věta
7
7Vietnamese (vi)
Bổ đề Farkas
7
8Polish (pl)
Lemat Farkasa
6
9Ukrainian (uk)
Лема Фаркаша
3
10Korean (ko)
퍼르커시 보조정리
2
More...

The following table shows the language versions of the article with the highest Authors’ Interest in the last month.

The highest AI in June 2025

Language versions of the article "Лема Фаркаша" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Czech (cs)
Farkasova věta
0
2German (de)
Lemma von Farkas
0
3English (en)
Farkas' lemma
0
4French (fr)
Lemme de Farkas
0
5Hungarian (hu)
Farkas-lemma
0
6Korean (ko)
퍼르커시 보조정리
0
7Polish (pl)
Lemat Farkasa
0
8Russian (ru)
Лемма Фаркаша
0
9Ukrainian (uk)
Лема Фаркаша
0
10Vietnamese (vi)
Bổ đề Farkas
0
More...

The following table shows the language versions of the article with the highest number of citations.

The highest CI

Language versions of the article "Лема Фаркаша" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1French (fr)
Lemme de Farkas
48
2English (en)
Farkas' lemma
31
3German (de)
Lemma von Farkas
7
4Ukrainian (uk)
Лема Фаркаша
6
5Russian (ru)
Лемма Фаркаша
5
6Hungarian (hu)
Farkas-lemma
4
7Czech (cs)
Farkasova věta
2
8Korean (ko)
퍼르커시 보조정리
2
9Vietnamese (vi)
Bổ đề Farkas
2
10Polish (pl)
Lemat Farkasa
0
More...

Scores

Estimated value for Wikipedia:
Ukrainian:
Global:
Popularity in June 2025:
Ukrainian:
Global:
Popularity in all years:
Ukrainian:
Global:
Authors in June 2025:
Ukrainian:
Global:
Registered authors in all years:
Ukrainian:
Global:
Citations:
Ukrainian:
Global:

Quality measures

Interwikis

#LanguageValue
csCzech
Farkasova věta
deGerman
Lemma von Farkas
enEnglish
Farkas' lemma
frFrench
Lemme de Farkas
huHungarian
Farkas-lemma
koKorean
퍼르커시 보조정리
plPolish
Lemat Farkasa
ruRussian
Лемма Фаркаша
ukUkrainian
Лема Фаркаша
viVietnamese
Bổ đề Farkas

Popularity rank trends

Best Rank Ukrainian:
#71795
01.2011
Global:
#259522
03.2017

AI rank trends

Best Rank Ukrainian:
#8905
07.2010
Global:
#108380
09.2009

Local AI rank history

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Farkas' lemma from Wikipedia articles about Karush–Kuhn–Tucker conditions, Maximum-margin hyperplane, Dual linear program, Convex cone and Fredholm alternative. Whereas reading the article about Farkas' lemma people most often go to Wikipedia articles on Gyula Farkas, Karush–Kuhn–Tucker conditions, Dual linear program, Fourier–Motzkin elimination and Fredholm alternative.

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

News from 12 August 2025

On 12 August 2025 in multilingual Wikipedia, Internet users most often read articles on the following topics: Cristiano Ronaldo, Wednesday, Georgina Rodríguez, ChatGPT, Weapons, Jenna Ortega, deaths in 2025, Taylor Swift, Miguel Uribe Turbay, 2025–26 UEFA Champions League.

In Ukrainian Wikipedia the most popular articles on that day were: Забарний Ілля Борисович, Аляска, Анкоридж (Аляска), Макс Корж, Венздей (2-й сезон), 1-й корпус НГУ «Азов», День молоді (Україна), Волинська трагедія, Кріштіану Роналду, Україна.

About WikiRank

The WikiRank project is intended for automatic relative evaluation of the articles in the various language versions of Wikipedia. At the moment the service allows to compare over 44 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2025. When calculating current popularity and AI of articles data from June 2025 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2025... More information